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Select the outlier in the data set.\newline67,69,71,74,75,78,79,83,59667, 69, 71, 74, 75, 78, 79, 83, 596\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease

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Q. Select the outlier in the data set.\newline67,69,71,74,75,78,79,83,59667, 69, 71, 74, 75, 78, 79, 83, 596\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease
  1. Identify Outlier: Step 11: Identify the outlier in the data set.\newlineData set: 67,69,71,74,75,78,79,83,59667, 69, 71, 74, 75, 78, 79, 83, 596.\newlineOutlier is the number that is significantly different from the rest of the numbers. Here, 596596 is much higher than all other numbers.
  2. Calculate Mean with Outlier: Step 22: Calculate the mean of the data set including the outlier.\newlineMean = (67+69+71+74+75+78+79+83+596)/9=1322/9≈146.89(67 + 69 + 71 + 74 + 75 + 78 + 79 + 83 + 596) / 9 = 1322 / 9 \approx 146.89.
  3. Calculate Mean without Outlier: Step 33: Calculate the mean of the data set without the outlier.\newlineMean without outlier = (67+69+71+74+75+78+79+83)/8=596/8≈74.5(67 + 69 + 71 + 74 + 75 + 78 + 79 + 83) / 8 = 596 / 8 \approx 74.5.

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